P and Q have position vectors a and b relative to the origin O and X,Y divide PQ internally and externally respectively in the ratio 2:1, vector XY is `lamda a+mub`, then the value of `|lamda+mu|` is

A, B have vectors vec a , vec b relative to the origin O and X, Y divide vec(AB) internally and externally respectively in the ratio 2:1 . Then , vec (XY)=

P ,Q have position vectors vec a& vec b relative to the origin ' O^(prime)&X , Ya n d vec P Q internally and externally respectgively in the ratio 2:1 Vector vec X Y= 3/2( vec b- vec a) b. 4/3( vec a- vec b) c. 5/6( vec b- vec a) d. 4/3( vec b- vec a)

Let p and q be the position vectors of P and Q respectively with respect to O and |p| = p, |q| = q . The points R and S divide PQ internally and externally in the ratio 2 : 3 respectively. If vec( OR) and vec(OS) are perpendicular, then (A) 9p^2=4q^2 (B) 4p^2=9q^2 (C) 9p=4q (D) 4p=9q

Find the position vectors of the points which divide the join of the points 2 vec a-3 vec ba n d3 vec a-2 vec b internally and externally in the ratio 2:3 .

Find the position vector of the points which divide the join of the points 5veca-4vecb and 4veca-5vecb internally and externally in the ratio 4:3 respectively.

Find the position vector of the point which divides the join of the points (2veca - 3vecb) and (3veca - 2vecb) (i) internally and (ii) externally in the ratio 2 : 3 .

If a and b are position vector of two points A,B and C divides AB in ratio 2:1, then position vector of C is

Find the position vector of a point which divides the join of points with position vectors vec a-2 vec b and 2 vec a+ vec b externally in the ratio 2:1.

If the position vector of a point A is vec a + 2 vec b and vec a divides AB in the ratio 2:3 , then the position vector of B, is

The x and Y components of a vector barP have numerical values 5 and 6 respectively. Find the vector barP